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Simplifying 2x + -40 = -6x + 12 + -5 Reorder the terms: -40 + 2x = -6x + 12 + -5 Reorder the terms: -40 + 2x = 12 + -5 + -6x Combine like terms: 12 + -5 = 7 -40 + 2x = 7 + -6x Solving -40 + 2x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -40 + 2x + 6x = 7 + -6x + 6x Combine like terms: 2x + 6x = 8x -40 + 8x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 8x = 7 + 0 -40 + 8x = 7 Add '40' to each side of the equation. -40 + 40 + 8x = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = 7 + 40 8x = 7 + 40 Combine like terms: 7 + 40 = 47 8x = 47 Divide each side by '8'. x = 5.875 Simplifying x = 5.875
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